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Finding the Fourth Proportional to 3,496.95, 4,825.50 and 2,005.02

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Solution

The fourth proportional to 3,496.95, 4,825.50 and 2,005.02 is: 2,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.95 : 4,825.50 = 2,005.02 : x
  2. Step 2: Convert to fraction form
    3,496.95/4,825.50 = 2,005.02/x
  3. Step 3: Cross multiply
    3,496.95x = 4,825.50 × 2,005.02
  4. Step 4: Simplify right side
    3,496.95x = 9,675,224.01
  5. Step 5: Solve for x
    x = 9,675,224.01/3,496.95
  6. Step 6: Final answer
    x = 2,766.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.